PPT - FishBase

Many Ways
to Estimate Bmsy
Rainer Froese, GEOMAR
Presentation at the Workshop on
Challenges and Opportunities of
Fish Stock Recovery Targets
13 October 2014, Brussels, Belgium
Verhulst (1844) Model of Population Growth
BioDivPopGrowthMSY.xls
The Schaefer Model (1954)
Fmsy = ½ rmax
Bmsy = ½ K
BioDivPopGrowthMSY.xls
Available from the Workshop Drop Box
From Catch-MSY to CMSY
• Catch-MSY gave robust estimates of MSY, but
biased estimates of r (too low) and K (too
high).
• CMSY overcomes the bias and gives
reasonable estimates of Fmsy and Bmsy
• Catch-MSY could not reliably predict biomass
• CMSY gives reasonable estimates of biomass
• Simulation testing and evaluation of CMSY
done, submission planned for December
CMSY Simulation testing I
Simulated high to low biomass, for a species with medium resilience
CMSY Simulation testing II
Simulated low to high biomass, for a species with low resilience
CMSY Simulation testing III
Simulated constant low biomass, for a species with high resilience
CMSY Simulation testing IV
Simulated high-low-high biomass, for a species with very low resilience
CMSY Evaluation I
Evaluation testing against full assessment data for Celtic Sea cod
CMSY Evaluation II
Evaluation testing against full assessment data for Faroe Haddock
CMSY Evaluation III
Evaluation testing against full assessment data for North Sea herring
CMSY Evaluation I
Evaluation testing against full assessment data for Norway lobster in the Bay of Biscay
Results So Far
CMSY is still a work in progress. Results so far for
24 simulated scenarios and 100+ fully assessed
stocks are very promising. The results for the
simulated stocks are available in the drop box as
CMSYvsSim7.docx. If you have more fully
assessed stocks for us to test, please let me
know.
Using Stock-Recruitment Data
to Estimate Bmsy
1200
SSBpa
SSBlim
proxy
SSBmsy
constant recruitment
1000
Recruits
800
600
Outside safe
biological limits
400
200
0
0
100
200
300
400
500
600
Spawning stock size
Froese et al. in press
Using 2*Bpa as Proxy for Bmsy
• ICES gives Bpa for all fully assessed stocks.
• Bpa marks the stock size below which
recruitment may be compromised
• This is usually expected at 0.2 B0 (Beddington
& Cooke 1983)
• Bmsy is expected between 0.37 B0 (Fox 1975)
and 0.5 B0 (Schaefer 1954)
• 2 * Bpa = 0.4 B0 is therefore a not-tooambitious proxy for Bmsy
Using 2 * MSY Btrigger as Proxy for Bmsy
• ICES defines MSY Btrigger as “A level of SSB below
which the stock is outside the range of values
associated with SSBmsy.”
• ICES proposes MSY Btrigger, which has the lowest
probability of being Bmsy, as a proxy for the
highest probability of being Bmsy
• ICES stock assessment groups are using Bpa as
proxy for MSY Btrigger
• 2 * MSY Btrigger is therefore another not-tooambitious proxy for Bmsy
Using Yield-per-Recruit Analysis
Yield per recruit as a function of F and Lc (Beverton & Holt 1957).
Using Yield-per-Recruit Analysis
For every F, there is a corresponding length-at-first-capture (Lc) that maximizes catch (dashed
Lc_max curve) or that maximizes catch and increases biomass (solid Lc_opt curve, Froese et al.,
in prep.)
Using Yield-per-Recruit Analysis
For a given F, starting fishing at Lc_opt gives the same yield as starting fishing at Lc_max
Using Yield-per-Recruit Analysis
In the area of reasonable fishing, yield lines are nearly parallel to the length-at-first-capture axis.
Using Yield-per-Recruit Analysis
For a given F, starting fishing at Lc_opt gives higher biomass than starting at Lc_max
Using Yield-per-Recruit Analysis
Using Yield-per-Recruit Analysis
Follow the Money…
Thank You